Man and a Women Same Birthday

A man and a women have the same birthday.When he was as old as she is now, the man was twice as old as the woman. When she becomes as old as he is now, the sum of their ages will be 119.How old is the man now

A man and a women have the same birthday.When he was as old as she is now, the man was twice as old as the woman. When she becomes as old as he is now, the sum of their ages will be 119.How old is the man now

Call the man's age now x. Call the woman's age now y.

Then x - y is the difference in their ages.

So when the man was as old as the woman is now (y years) then the man was twice as old as the woman. So the woman was y - [x - y] years old and the man was y years. Thus
y = 2*(y - [x - y]) = 2*(2y - x) = 4y - 2x

or

3y - 2x = 0

Now, when she becomes as old as he is now (x years) the sum of their ages will be 119. The man is now x + [x - y] years old and the woman is x years. Thus
(x + [x - y]) + x = 119